Graduate Student Algebraic Topology Seminar, Fall 2013
Meeting time and location
The seminar will meet in Hill 423, Thursdays 3:45–5:00.
We gratefully thank the Math GSO and the Rutgers GSA for providing dinner at this seminar.
Information about this seminar is also listed on the math department's seminar page.
Schedule
Date | Speaker | Title of Talk |
9/5 | Glen Wilson | Organizational Meeting |
9/12 | Knight Fu | Model categories, Part 1 |
9/19 | Knight Fu | Model categories, Part 2 |
9/26 | Glen Wilson | Spectra, Brown representability, homology, and cohomology |
10/3 | Glen Wilson | Spectra, Brown representability, homology, and cohomology |
10/10 | Jonathan Jaquette | Principal bundles, classifying spaces |
10/17 | Jonathan Jaquette | Characteristic classes |
10/24 | Ed Chien | Khovanov cohomology |
10/31 | Ed Chien | Khovanov cohomology |
11/7 | Doug Schultz | Gauge theory |
11/14 | Justin Bush | Conley theory |
11/21 | Justin Bush | Conley theory continued |
11/21 | Glen Wilson | Cobordism theories |
Resources
Spectra, generalised homology and cohomology, general reference
- Adams, Stable Homotopy and Generalised Homology.
- Adams, Algebraic Topology—A Student's Guide.
- Brown, Cohomology Theories.
- Hatcher, Spectral Sequences in Algebraic Topology.
- Hovey, Shipley, Smith Symmetric Spectra.
- Hovey; Palmieri; Strickland, Axiomatic stable homotopy theory.
- Switzer, Algebraic Topology--Homology and Homotopy.
Model categories
- Hess, Model Categories in Algebraic Topology.
- Hovey, Model categories.
- Quillen, Homotopical Algebra.
- May, More concise algebraic topology.
- Freyd, P. Homotopy is not concrete.
Characteristic classes, cobordism theory
- Bott; Tu, Differential Forms in Algebraic Topology.
- Milnor; Stasheff, Characteristic Classes.
- Milnor, Construction of Universal Bundles, II
- Mitchell, Stephen, Notes on principal bundles and classifying spaces.
- Ravenel, Complex Cobordism and Stable Homotopy Groups of Spheres.
- Stong, Notes on Cobordism Theory.
Simplicial algebraic topology and general reference
- Weibel, Homological Algebra.
- May, Simplicial objects in algebraic topology.
Khovanov homology
- Bar-Natan, Khovanov's homology for tangles and cobordisms